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Finding the Fourth Proportional to 1,538.39, 2,304.95 and 845.63

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Solution

The fourth proportional to 1,538.39, 2,304.95 and 845.63 is: 1,267.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.39 : 2,304.95 = 845.63 : x
  2. Step 2: Convert to fraction form
    1,538.39/2,304.95 = 845.63/x
  3. Step 3: Cross multiply
    1,538.39x = 2,304.95 × 845.63
  4. Step 4: Simplify right side
    1,538.39x = 1,949,142.74
  5. Step 5: Solve for x
    x = 1,949,142.74/1,538.39
  6. Step 6: Final answer
    x = 1,267.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.